Package: weyl 0.0-6

weyl: The Weyl Algebra

A suite of routines for Weyl algebras. Notation follows Coutinho (1995, ISBN 0-521-55119-6, "A Primer of Algebraic D-Modules"). Uses 'disordR' discipline (Hankin 2022 <doi:10.48550/arXiv.2210.03856>). To cite the package in publications, use Hankin 2022 <doi:10.48550/arXiv.2212.09230>.

Authors:Robin K. S. Hankin [aut, cre]

weyl_0.0-6.tar.gz
weyl_0.0-6.zip(r-4.5)weyl_0.0-6.zip(r-4.4)weyl_0.0-6.zip(r-4.3)
weyl_0.0-6.tgz(r-4.4-any)weyl_0.0-6.tgz(r-4.3-any)
weyl_0.0-6.tar.gz(r-4.5-noble)weyl_0.0-6.tar.gz(r-4.4-noble)
weyl_0.0-6.tgz(r-4.4-emscripten)weyl_0.0-6.tgz(r-4.3-emscripten)
weyl.pdf |weyl.html✨
weyl/json (API)
NEWS

# Install 'weyl' in R:

install.packages('weyl', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/weyl/issues

Datasets:

. - Class "dot"
d - Generating elements for the first Weyl algebra
x - Generating elements for the first Weyl algebra

On CRAN:

40 exports 3 stars 1.59 score 24 dependencies 3 scripts 181 downloads

Last updated 20 hours agofrom:6e0aa78a63. Checks:OK: 7. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Sep 17 2024
R-4.5-win	OK	Sep 17 2024
R-4.5-linux	OK	Sep 17 2024
R-4.4-win	OK	Sep 17 2024
R-4.4-mac	OK	Sep 17 2024
R-4.3-win	OK	Sep 17 2024
R-4.3-mac	OK	Sep 17 2024

Exports:as.der as.id as.id.weyl as.weyl coeffs coeffs<-coeffs<-.weyl constant constant.weyl constant<-constant<-.weyl deg dim.weyl drop grade grade<-grades horner idweyl is.id is.ok.weyl is.weyl is.zero ooom Ops.weyl print.weyl rweyl sort spray weyl weyl_power_scalar weyl_prod_helper1 weyl_prod_helper2 weyl_prod_helper3 weyl_prod_multivariate_nrow_allcolumns weyl_prod_multivariate_onerow_allcolumns weyl_prod_multivariate_onerow_singlecolumn weyl_prod_univariate_nrow weyl_prod_univariate_onerow zero

Dependencies:abind cli digest disordR freealg glue gmp lattice lifecycle magic magrittr mathjaxr Matrix partitions polynom rbibutils Rcpp Rdpack rlang sets spray stringi stringr vctrs

Lie algebras and differential operators

Robin K. S. Hankin

Rendered fromborcherds.Rmdusingknitr::rmarkdownon Sep 17 2024.

Last update: 2024-06-28
Started: 2023-09-26

Quantum algebra with R: the weyl package

Robin K. S. Hankin

Rendered fromweyl.Rmdusingknitr::rmarkdownon Sep 17 2024.

Last update: 2024-06-28
Started: 2021-12-07

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
The Weyl Algebra	weyl-package
Manipulate the coefficients of a weyl object	coeff coeffs coeffs,weyl-method coeffs.weyl coeffs<- coeffs<-,weyl-method coeffs<-.weyl index value value,weyl-method value.weyl value<- value<-.weyl values
The constant term	const constant constant.weyl constant<- constant<-.weyl
The degree of a 'weyl' object	deg degree
Derivations	as.der derivation derivations
The dimension of a 'weyl' object	dim dim.weyl dimension
Class "dot"	. commutator dot dot-class dot_error extract jacobi [,dot,ANY,ANY-method [,dot,ANY,missing-method [,dot,matrix,matrix-method [,dot,missing,ANY-method [,dot,missing,missing-method [,dot-method [.dot
Drop redundant information	drop drop,weyl-method
The grade of a weyl object	grade grade<- grades symbol_map
Horner's method	horner
The identity operator	as.id as.id.weyl as.identity as.one.weyl id identity idweyl is.id is.id.weyl is.identity
One over one minus	ooom
Arithmetic Ops Group Methods for the Weyl algebra	Ops Ops.weyl prodfunc weyl_power_scalar weyl_prod weyl_prod_helper1 weyl_prod_helper2 weyl_prod_helper3 weyl_prod_multivariate_nrow_allcolumns weyl_prod_multivariate_onerow_allcolumns weyl_prod_multivariate_onerow_singlecolumn weyl_prod_univariate_nrow weyl_prod_univariate_onerow
Print methods for weyl objects	print print.weyl weylvars
Random weyl objects	rweyl
Create spray objects	spray
The algebra and weyl objects	as.weyl is.ok.weyl is.weyl weyl
Class "weyl"	weyl-class
Generating elements for the first Weyl algebra	d x x_and_d
The zero operator	empty is.empty is.zero zero